In the limit \(\omega \rightarrow 0\)  (and \({E}=0\) ) one gets the expected Landau levels[1]}, [2]} \(E(n)=\hbar \omega _{c}(n+\frac{1}{2})\) 
where \(\omega _{c}=\frac{qB}{m}\)  denotes the cyclotron frequency.
